Simple stability conditions of linear discrete time systems with multiple delay

In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent asymptotic stability of the linear discrete time systems with multiple delays are derived in the shape o...

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Bibliographic Details
Published in:Serbian journal of electrical engineering 2010, Vol.7 (1), p.69-79
Main Authors: Stojanovic, Sreten, Debeljkovic, Dragutin
Format: Article
Language:English
Subjects:
Delay-independent stability
discrete time-delay systems
Liner matrix inequality
Lyapunov-Krasovskii method
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Summary:In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent asymptotic stability of the linear discrete time systems with multiple delays are derived in the shape of Lyapunov inequality. Numerical examples are presented to demonstrate the applicability of the present approach.
ISSN:1451-4869
2217-7183
DOI:10.2298/SJEE1001069S